Ads
related to: fano plane triangle formula pdf example worksheet printable free pdf one pagekutasoftware.com has been visited by 10K+ users in the past month
Search results
Results from the WOW.Com Content Network
The Fano plane is an example of an (n 3)-configuration, that is, a set of n points and n lines with three points on each line and three lines through each point. The Fano plane, a (7 3)-configuration, is unique and is the smallest such configuration. [11]
A complete list of all 480 octonions and their Fano plane and multiplication tables (in two parts) are here and here. (.pdf 80MB each). (.pdf 80MB each). A description of the Mathematica algorithm with code is here .
The Fano plane, the projective plane over the field with two elements, is one of the simplest objects in Galois geometry.. Galois geometry (named after the 19th-century French mathematician Évariste Galois) is the branch of finite geometry that is concerned with algebraic and analytic geometry over a finite field (or Galois field). [1]
The Fano plane is a Steiner triple system S(2,3,7). The blocks are the 7 lines, each containing 3 points. Every pair of points belongs to a unique line. In combinatorial mathematics, a Steiner system (named after Jakob Steiner) is a type of block design, specifically a t-design with λ = 1 and t = 2 or (recently) t ≥ 2.
The Levi graph of the Fano plane is the Heawood graph. Since the Heawood graph is connected and vertex-transitive, there exists an automorphism (such as the one defined by a reflection about the vertical axis in the figure of the Heawood graph) interchanging black and white vertices. This, in turn, implies that the Fano plane is self-dual.
File:Fano plane with nimber labels.svg. Add languages. Page contents not supported in other languages. ... Printable version; Page information; Get shortened URL;
The adjunction formula implies that K D = (K X + D)| D = (−(n+1)H + deg(D)H)| D, where H is the class of a hyperplane. The hypersurface D is therefore Fano if and only if deg(D) < n+1. More generally, a smooth complete intersection of hypersurfaces in n-dimensional projective space is Fano if and only if the sum of their degrees is at most n.
The order of a finite projective plane is n = k – 1, that is, one less than the number of points on a line. All known projective planes have orders that are prime powers. A projective plane of order n is an ((n 2 + n + 1) n + 1) configuration. The smallest projective plane has order two and is known as the Fano plane.
Ads
related to: fano plane triangle formula pdf example worksheet printable free pdf one pagekutasoftware.com has been visited by 10K+ users in the past month